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Finding the Third Proportional to 74,064 and 160,764

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Solution

The third proportional to 74,064 and 160,764 is: 348,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,064 : 160,764 = 160,764 : x
  2. Step 2: Convert to fraction form
    74,064/160,764 = 160,764/x
  3. Step 3: Cross multiply
    74,064x = 160,764 × 160,764
  4. Step 4: Simplify right side
    74,064x = 25,845,063,696
  5. Step 5: Solve for x
    x = 25,845,063,696/74,064
  6. Step 6: Final answer
    x = 348,955.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.